hich scenario matches the given expression?

Question

4/5 divided by 3/5

A.
Cara needs of an hour to bake a batch of muffins. She takes of an hour to make a grilled panini. How much more time does she take to bake a batch of muffins than make a grilled panini?
B.
Mr. Morris is making a blueprint of a new house. The distance from the bathroom to the living room is of a foot. The distance from the front door to the living room is of a foot. How many times farther away from the living room is the bathroom than the front door?
C.
Mr. Fisk needs to saw a block of wood to a depth of of a foot. He has sawn to a depth of of a foot. How much deeper does he need to saw?
D.
Erica is looking at a map of her neighborhood. Her friend Becky's house is of a kilometer from her house. Her friend Sam's house is of a kilometer from her house. How many times farther away from Erica's house is Sam's house than Becky's house?

Answer 1

To solve the expression \( \frac{4}{5} \div \frac{3}{5} \), we find how many times \( \frac{3}{5} \) (the distance from the front door to the living room) fits into \( \frac{4}{5} \) (the distance from the bathroom to the living room).

This fits the context of option B, where it compares the distances from the bathroom to the living room and from the front door to the living room.

Here’s the breakdown:

• The distance from the bathroom to the living room is \( \frac{4}{5} \) of a foot.
• The distance from the front door to the living room is \( \frac{3}{5} \) of a foot.
• The scenario asks how many times farther away the bathroom is compared to the front door, which we determine by dividing the two distances: \( \frac{4}{5} \div \frac{3}{5} = \frac{4}{3} \).

Therefore, the correct match for the given expression \( \frac{4}{5} \div \frac{3}{5} \) is:

B. Mr. Morris is making a blueprint of a new house. The distance from the bathroom to the living room is \( \frac{4}{5} \) of a foot. The distance from the front door to the living room is \( \frac{3}{5} \) of a foot. How many times farther away from the living room is the bathroom than the front door?